Topological string theory comes from a topological twist (in the suitable spacetimes) of the sigma model defining it. Does the topological twist make the sigma model a topological field theory?

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    $\begingroup$ $\uparrow$ Yes. $\endgroup$ – Qmechanic Nov 4 '16 at 12:07
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    $\begingroup$ There are two questions above. The answer to the first is "Not necessarily", and the answer to the second is "Yes". $\endgroup$ – user1504 Nov 4 '16 at 12:09

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